Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Observability of Rényi's entropy.

Petr Jizba1, Toshihico Arimitsu

  • 1Institute of Physics, University of Tsukuba, Ibaraki 305-8571, Japan. petr@cm.ph.tsukuba.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 5, 2004
PubMed
Summary

Rényi

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Constraints on Tsallis Cosmology from Big Bang Nucleosynthesis and the Relic Abundance of Cold Dark Matter Particles.

Entropy (Basel, Switzerland)·2023
Same author

Causal Inference in Time Series in Terms of Rényi Transfer Entropy.

Entropy (Basel, Switzerland)·2022
Same author

The Statistical Foundations of Entropy.

Entropy (Basel, Switzerland)·2021
Same author

From Rényi Entropy Power to Information Scan of Quantum States.

Entropy (Basel, Switzerland)·2021
Same author

When Shannon and Khinchin meet Shore and Johnson: Equivalence of information theory and statistical inference axiomatics.

Physical review. E·2020
Same author

Time-energy uncertainty principle for irreversible heat engines.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2020

Area of Science:

  • Information Theory
  • Statistical Mechanics
  • Quantum Information

Background:

  • Rényi's entropy is a generalization of Shannon entropy.
  • Its observability has been questioned due to reported instabilities.

Purpose of the Study:

  • To demonstrate that Rényi's entropy is an observable quantity.
  • To address and resolve concerns about its instability and domain of applicability.

Main Methods:

  • Mathematical analysis of Rényi entropy properties.
  • Investigation of instability measures (Bhattacharyya measure).
  • Application of coarse-graining techniques for measurement stabilization.

Main Results:

  • The domain of instability for Rényi entropies has zero measure.
  • Instabilities can be corrected with coarse-graining in measurements.
  • Observability is confirmed in fractal and continuous systems.

Conclusions:

  • Rényi's entropy is a well-defined observable quantity.
  • Practical measurement methods can overcome theoretical instabilities.
  • The entropy is applicable across diverse complex systems.

Related Experiment Videos